A fitness journal is interested in understanding the differencein percentage body fat for people who are 30 and under versus those who are over 30 years old. Specifically, she would like to test the claimthat the older group will have a higher average body fat percentage. The researcher with the journal collects a sample of people from the St. Louis area and assumes the population variances for the two groups are unequal.

Click here for the Excel data file

1. Specify the hypotheses.

H(0) = ____?____. ______?____._____?_____

H(A) = ___?_____. _____?_____. _____?______

1. What is the test statistic and p-value?Round to 4decimal places.

Test statistic = ____?_____

p-value = _____?______

c.At the 5% significance level, what is the decision and conclusion to this test?

____?____. ____?______. Therefore, we ___?____ conclude

__________________________?_____________________________

Less than or =30	Greater than 30
12.6	20.5
6.9	21.7
24.6	20.5
10.9	28.1
27.8	22.4
20.6	16.5
19	15.7
12.8	17.6
5.1	8.5
12	22.4
7.5	12.3
8.5	20.9
20.8	31.1
16.1	38.2
19	23.6
15.3	27.5
14.2	33.8
4.6	31.3
4.7	33.1
9.4	31.7
6.5	30.4
13.4	30.8
	8.4
	14.1
	11.2
	6.4
	13.4
	5